Answer: $180,046
Explanation:
First find the annuity that was invested monthly that yielded $550,000.
Interest rate = 3%/12 months = 0.25%
Period = 25 * 12 = 300 months
Future value of annuity = Annuity * ( ( 1 + rate) ^ no. of periods - 1) / rate
550,000 = Annuity * ( ( 1 + 0.25%)³⁰⁰ - 1 ) / 0.25%
550,000 = Annuity * 446
Annuity = 550,000 / 446
Annuity = $1,233.18
Without compounding, investing $1,233.18 per month would have yielded:
= 1,233.18 * 300 months
= $369,954
Money earned from interest is:
= 550,000 - 369,954
= $180,046
